Another tray of Pfizer vaccines arrives in Hobart on Sunday to enable more people in the 1a priorty group to be vaccinated against COVID-19 throughout the coming week.
The Commonwealth will also continue its rollout of vaccinations in its aged care and disability facilities across Tasmania.
The first Pfizer vaccines were administered in Tasmania early last week.
Health Minister Sarah Courtney said it was positive to see the program progressing without issue.
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"As going to plan, this week will be like last week. So that tray of Pfizer vaccinations will be delivered to the Royal Hobart Hospital, a team of experts will be handling that over the next day and a half, and then we'll be vaccination more 1a priority groups this coming week," she said.
"The state team did a brilliant job in what was a very high pressure environment, and they have shown the exceptional preparations that have been done were worthwhile."
Ms Courtney said it was important for all Tasmanians to get vaccinated when the opportunity comes up.
"As we roll this out - not just in Hobart, but across all of Tasmania - I'd like to assure Tasmanians that it's safe, it's effective and it's free," she said.
"And we'll make sure that we come to your community so that you can have access to the vaccination."